Abstract: In a biological simulation apparatus, an operation unit represents a structure domain where tissues of a biological organ exist by a structure mesh model based on a Lagrange description and a fluid domain where fluid inside the biological organ exists by an ALE fluid mesh model based on an ALE description method. In a fluid-structure interaction simulation, the operation unit deforms the structure mesh model, and then deforms the ALE fluid mesh model so as to form no gap on a first interface between a domain where a site other than a certain site of the biological organ in the structure domain exists and the fluid domain or no overlap with the structure domain. The operation unit captures a position of a second interface between a domain where the certain site exists and the fluid domain by using the ALE fluid mesh model as a reference.

Abstract: A designation device includes a storage that stores therein a three-dimensional model of an organ, and a processor coupled to the storage. The processor executes a process including: first acquiring designations of a plurality of planes of the three-dimensional model of the organ; second acquiring designations of a specific number of pieces of point information indicating an infarct site of the organ for any one or all of the planes; determining the infarct site of the organ that is interposed between the planes on the basis of the pieces of point information; and outputting an image reproducing determination result of the infarct site of the organ at the determining using the three-dimensional model.

Abstract: A biological model generating apparatus establishes, for each of a plurality of nodes on a centerline of a blood vessel, based on blood vessel information, a first circle and a second circle on a plane cutting through the node and intersecting the centerline at a right angle. The first circle centers at the node and has a first radius obtained by adding a margin of error to the radius of the blood vessel. The second circle centers at the node and has a second radius obtained by subtracting the margin of error from the radius. Subsequently, the generating apparatus generates an implicit function defining a curved surface that intersects the plane cutting through each of the plurality of nodes, at the inner side of the first circle but the outer side of the second circle. Then, the generating apparatus generates a mesh model based on the defined curved surface.

Abstract: A modeling apparatus calculates, with respect to edges in a three-dimensional mesh model, an evaluation value of each edge on the basis of the length of the edge, and selects the edges one by one as a first edge in ascending order of their evaluation value. In this connection, a lower evaluation value is calculated for a shorter edge. Then, if there is a specific node placement position where a value of a calculation formula using distances between the node placement position and each first face having either one of first nodes at both ends of the selected first edge as a vertex is lower than or equal to a threshold, the modeling apparatus removes the first edge, first nodes, and first faces from the three-dimensional mesh model, and adds a second node at the specific node placement position in the three-dimensional mesh model.

Abstract: A biological model generating apparatus establishes, for each of a plurality of nodes on a centerline of a blood vessel, based on blood vessel information, a first circle and a second circle on a plane cutting through the node and intersecting the centerline at a right angle. The first circle centers at the node and has a first radius obtained by adding a margin of error to the radius of the blood vessel. The second circle centers at the node and has a second radius obtained by subtracting the margin of error from the radius. Subsequently, the generating apparatus generates an implicit function defining a curved surface that intersects the plane cutting through each of the plurality of nodes, at the inner side of the first circle but the outer side of the second circle. Then, the generating apparatus generates a mesh model based on the defined curved surface.

Abstract: A modeling apparatus calculates, with respect to edges in a three-dimensional mesh model, an evaluation value of each edge on the basis of the length of the edge, and selects the edges one by one as a first edge in ascending order of their evaluation value. In this connection, a lower evaluation value is calculated for a shorter edge. Then, if there is a specific node placement position where a value of a calculation formula using distances between the node placement position and each first face having either one of first nodes at both ends of the selected first edge as a vertex is lower than or equal to a threshold, the modeling apparatus removes the first edge, first nodes, and first faces from the three-dimensional mesh model, and adds a second node at the specific node placement position in the three-dimensional mesh model.

Abstract: A disclosed modelling method includes: calculating a first function for generating data of a closed surface that contains plural points representing an annular structure in an object, based on positional information of the plural points; generating data of a first point set representing a boundary of the object, from tomographic image data; detecting data of points which are included in the first point set and located inside the closed surface by using the first function; removing the detected data of points from the data of the first point set to generate data of a second point set; calculating a second function for generating data of a shape of the object using the data of the second point set and data of the plural points; and storing data of the shape of the object, which is generated by using the second function, in the memory.

Abstract: A designation device includes a storage that stores therein a three-dimensional model of an organ, and a processor coupled to the storage. The processor executes a process including: first acquiring designations of a plurality of planes of the three-dimensional model of the organ; second acquiring designations of a specific number of pieces of point information indicating an infarct site of the organ for any one or all of the planes; determining the infarct site of the organ that is interposed between the planes on the basis of the pieces of point information; and outputting an image reproducing determination result of the infarct site of the organ at the determining using the three-dimensional model.

Abstract: In this visualization method, for each brightness value for voxels included in a predetermined Region Of Interest (ROI) in a three-dimensional volume data, opacity is set according to an appearance frequency of the brightness value. Then, three-dimensional image data is generated for a portion on and under a cross section set for the three-dimensional volume data, by using color data that corresponds to a brightness value of each voxel included in the ROI and the opacity of each brightness value. Then, a cross section image generated from data of voxels on the cross section and the three-dimensional image data are superimposed and displayed.

Abstract: In a biological simulation apparatus, an operation unit represents a structure domain where tissues of a biological organ exist by a structure mesh model based on a Lagrange description method and a fluid domain where fluid inside the biological organ exists by an ALE fluid mesh model based on an ALE description method. In a fluid-structure interaction simulation, the operation unit deforms the structure mesh model, and then deforms the ALE fluid mesh model so as to form no gap on a first interface between a domain where a site other than a certain site of the biological organ in the structure domain exists and the fluid domain or no overlap with the structure domain. The operation unit captures a position of a second interface between a domain where the certain site exists and the fluid domain by using the ALE fluid mesh model as a reference.

Abstract: This shape data generation method include: setting an input shape that has a simple shape that has a same topology as the target shape for a target shape that is a shape of a transformation target identified from image data; identifying first vertices that satisfy a predetermined condition including a first condition that a normal line of a certain vertex of the plural vertices crosses with the target shape, among plural vertices of the input shape; transforming the input shape so that a first vertex is moved in a direction of a normal line of the first vertex by a first distance that is shorter than a distance up to the target shape; and performing the identifying and the transforming a predetermined number of times while changing the input shape after the transforming as the input shape to be processed.

Abstract: A drawing apparatus includes a flow line generation section configured to generate the flow line from a predetermined start position; a view setting section configured to set the viewpoint position in the 3D-space; a band-of-facets forming section configured to form a band of facets connecting a plurality of polygon facets along the flow line based on the set viewpoint position; and a texture mapping section configured to map texture onto each of the plurality of polygon facets. The texture represents reflected light on the band of facets with respect to a light source placed at a predetermined position in the 3D-space.

Abstract: An apparatus for presuming positions of organs is configured to transform plural organs included in a template that is a model including the plural organs so as to match a predetermined target organ among the plural organs in the template to a corresponding organ in volume data; and perform a first processing and a second processing a predetermined number of times. The first processing includes transforming a first organ selected among the plural organs in the template according to a corresponding first organ in the volume data, and the second processing includes transforming, for each of second organs that are predetermined organs, which are influenced by transformation of the first organ, the second organ according to transformation performed for third organs that are predetermined organs, which influence the second organ in the template.

Abstract: A disclosed modelling method includes: calculating a first function for generating data of a closed surface that contains plural points representing an annular structure in an object, based on positional information of the plural points; generating data of a first point set representing a boundary of the object, from tomographic image data; detecting data of points which are included in the first point set and located inside the closed surface by using the first function; removing the detected data of points from the data of the first point set to generate data of a second point set; calculating a second function for generating data of a shape of the object using the data of the second point set and data of the plural points; and storing data of the shape of the object, which is generated by using the second function, in the memory.

Abstract: A computer sets a first point on a first part in a plurality of tomographic images of an organ. The computer determines a relative position of the first point with respect to reference positions of the first part and a second part in the tomographic images. The computer sets a second point in association with the first point, on the first part in a 3D model representing a structure of the organ, such that a relative position of the second point with respect to reference positions of the first part and the second part in the 3D model matches the relative position of the first point. Then, the computer deforms the 3D model such that, when the tomographic images and the 3D model are placed in the same coordinate system, the position of the second point matches that of the first point.

Abstract: An apparatus for presuming positions of organs is configured to transform plural organs included in a template that is a model including the plural organs so as to match a predetermined target organ among the plural organs in the template to a corresponding organ in volume data; and perform a first processing and a second processing a predetermined number of times. The first processing includes transforming a first organ selected among the plural organs in the template according to a corresponding first organ in the volume data, and the second processing includes transforming, for each of second organs that are predetermined organs, which are influenced by transformation of the first organ, the second organ according to transformation performed for third organs that are predetermined organs, which influence the second organ in the template.

Abstract: In this visualization method, for each brightness value for voxels included in a predetermined Region Of Interest (ROI) in a three-dimensional volume data, opacity is set according to an appearance frequency of the brightness value. Then, three-dimensional image data is generated for a portion on and under a cross section set for the three-dimensional volume data, by using color data that corresponds to a brightness value of each voxel included in the ROI and the opacity of each brightness value. Then, a cross section image generated from data of voxels on the cross section and the three-dimensional image data are superimposed and displayed.

Abstract: This shape data generation method include: setting an input shape that has a simple shape that has a same topology as the target shape for a target shape that is a shape of a transformation target identified from image data; identifying first vertices that satisfy a predetermined condition including a first condition that a normal line of a certain vertex of the plural vertices crosses with the target shape, among plural vertices of the input shape; transforming the input shape so that a first vertex is moved in a direction of a normal line of the first vertex by a first distance that is shorter than a distance up to the target shape; and performing the identifying and the transforming a predetermined number of times while changing the input shape after the transforming as the input shape to be processed.

Abstract: An object operation device for operating an object displayed on a display device, the object operation device includes a coordinate system generation unit that generates a local coordinate system for each of a plurality of points set around a reference object that is a reference of an operation when a target object is moved three-dimensionally by the operation, a move destination coordinates calculation unit that calculates move destination coordinates of the target object corresponding to a move command value of the target object inputted through an input device based on the local coordinate system of each of the generated plurality of points, and a moving process unit that moves the target object to the calculated move destination coordinates.

Abstract: A method of visualizing visualization object data by creating a visualized image, including setting a visualization requirement; determining each node from a root node to a leaf node as a selected node, and determining whether or not the selected node satisfies the visualization requirement; registering nodes in a selected-node list for creating a visualization image when the selected node is a leaf node or has been determined to satisfy the visualization requirement, while replacing the selected node with child nodes of the selected node, and by making the child nodes new candidates for the selected node when the selected node has been determined not to satisfy the visualization requirement; outputting the selected-node list when there are no selected nodes to be processed; and creating the visualized image based on the visualization object data and node coordinate data associated with the respective nodes registered in the selected-node list.