Abstract: A method and apparatus determine an antialiased intensity of a component of a pixel. A set of objects is represented by a set of two-dimensional distance fields. For each distance field, a corresponding set of sample points is associated with the component and a corresponding distance is determined using the corresponding set of sample points. The corresponding distances are combined to determine a combined distance that is mapped to the antialiased intensity of the component of the pixel.

Abstract: A method generates a two-dimensional distance field from a pen stroke. A pen state is sampled during the pen stroke to generate an ordered list of pen states along the pen stroke. The pen state includes a location of the pen stroke. A set of boundary descriptors is generated from the ordered list of pen states. The two-dimensional distance field is generated from the set of boundary descriptors.

Abstract: A camera generates a textured range image. The camera includes a single lens, and a flash substantially co-located with the lens. The camera acquires a first image of a scene from a point of view with ambient light, and a second image of the scene from the point of view with direct light of the flash. The first image and the seconds image are then combined by a divider to generate the textured range image.

Abstract: A combination mirror mount and headlight glare visor that reduces headlight glare to the driver without changing the mirror height or mounting locations. The combination mirror mount and headlight glare visor maintains the field of vision requirements of FMVSS 111 for school buses and maintains the conventional mounting aspects of previous designs. The shape of the headlight visor portion is designed to substantially cover the headlight as viewed through the cross view mirror during operation of the vehicle.

Abstract: A method generates a distance field for a region of a shape descriptor representing an object. The distance field includes a set of cells for which cell types are defined. A configuration of a set of cells for the region is generated. Each cell of the configuration includes a cell type and a method for reconstructing the distance field within the cell. The configuration of the set of cells is modified until an optimal configuration is reached. The modification is based on the shape descriptor, the region, and the set of cell types. The optimal configuration of the set of cells is stored in a memory to generate the distance field for the region. Another method generates a two-dimensional distance field within a cell associated with a two-dimensional object. A set of boundary descriptors for the two-dimensional object is determined and partitioned into a set of segments. The segments are delimited by a set of features of the boundary descriptors.

Abstract: A method converts range data of an object to a model of the object by first generating an adaptively sampled distance field from the range data. The adaptively sampled distance field is then edited to produce the model. The range data can include a plurality of range images that are converted to range meshes in a single coordinate system, and an adaptively sampled distance field is generated for each of the range meshes.

Abstract: A method and apparatus determine an antialiased intensity of a component of a pixel from a two-dimensional distance field representing an object. A set of sample points in the two-dimensional distance field is associated with the component of the pixel. A distance is determined from the two-dimensional distance field and the set of sample points and then mapped to the antialiased intensity of the component of the pixel.

Abstract: A method generates a two-dimensional distance field within a cell associated with a corner of a two-dimensional object. A set of boundary descriptors for the two-dimensional object is determined. A corner point in the cell is identified from the set of boundary descriptors. The corner point represents the corner of the object. The corner point partitions the set of boundary descriptors into two subsets. The cell is partitioned into two regions where one region is closest to the corner point and the other region is closest to the set of boundary descriptors. Two lines passing through the corner point are determined such that each line corresponds to one of the two subsets of boundary descriptors. These lines delimit the two regions. A set of values and a method using the two regions are specified for reconstructing the distance field within the cell.

Abstract: A method converts a two-dimensional object to a two-dimensional distance field. The object is represented as a set of boundary descriptors and a fill rule. The set of boundary descriptors is preprocessed and a spatial hierarchy is constructed from the preprocessed set of boundary descriptors. A cache of intersections is initialized. The spatial hierarchy is queried at a set of locations to determine a set of distances at the locations. The query invokes a distance function at each location to determine an unsigned distance. A sign of the unsigned distance is determined from the cache of intersections, the location, and the fill rule. The set of distances is used to construct the two-dimensional distance field.

Abstract: A method models a graphics object by providing a model of the graphics object and generating a first adaptively sampled distance field for the model. Next, a topological hint is constructed. A second adaptively sampled distance field is generated from the topological hint. First locations of the second adaptively sampled distance field are sampled to determine a corresponding topological feature for each location. Second locations in the first adaptively sampled distance are determined from the corresponding topological features. The first adaptively sampled distance field is then sampled at the second locations to determine a distance value for each of the second locations to model the graphics object according to the topological hint.

Abstract: A method typesets a set of glyphs. A current glyph is selected from the set of glyphs and a current position of the current glyph is selected. A next position of a next glyph is determined, where the next glyph is selected from the set of glyphs. The determination of the next position of the next glyph first represents the current glyph as a two-dimensional distance field and then determines the next position using the current position, an escapement of the current glyph, and an alignment of the two-dimensional distance field. The current glyph is then updated to be the next glyph and the current position is updated to be the next position. The selection of the next glyph and the determination of the next position continue until a termination condition is satisfied.

Abstract: A method renders a region of a composite glyph. The composite glyph is defined by a set of elements. A set of two-dimensional distance fields is generated using the set of elements, where a composition of the set of two-dimensional distance fields represents the composite glyph. The region of the composite glyph is then rendered using the set of two-dimensional distance fields.

Abstract: A method generates an adaptively sampled distance field of an object by first defining a candidate cell of the adaptively sampled distance field. Then, distance values for the candidate cell are determined and stored in a bounded distance tree. The candidate cell is recursively subdividing into subdivided cells of the adaptively sampled distance field while determining and storing corresponding distance values of the subdivided cells in the bounded distance tree until a termination condition is reached. Lastly, the distance values are appended to the corresponding cells to generate the adaptively sampled distance field of the object.

Abstract: A method renders a region of a composite glyph. The composite glyph is defined by a set of elements. A set of two-dimensional distance fields is generated using the set of elements, where each two-dimensional distance field is partitioned into cells and each cell includes a method for reconstructing the corresponding two-dimensional distance field within the cell. A composition of the set of two-dimensional distance fields represents the composite glyph. The region of the composite glyph is then rendered using the set of two-dimensional distance fields.

Abstract: A method and apparatus antialias a region of a two-dimensional distance field representing an object. The two-dimensional distance field is partitioned into cells where each cell includes a method for reconstructing the two-dimensional distance field within the cell. A set of cells of the two-dimensional distance field associated with the region is identified and a set of pixels associated with the region is located. For each pixel, a set of components is specified. For each component, a distance is determined from the set of cells and then mapped to the antialiased intensity of the component of the pixel.

Abstract: A method determines a distance from a 3D point to a 3D surface from a 2D projected range image. A projected distance and a cliff distance from the 3D point to the 3D surface are determined using the projected range image. The projected distance and the cliff distance are then combined to determine the distance from the 3D point to the 3D surface.

Abstract: A method models a plurality of graphics models by generating a first adaptively sampled distance field for a first model, and generating a second adaptively sampled distance field for a second model. Locations in the first adaptively are sampled distance field to determine a distance value for each location. The second adaptively sampled distance field is sampled at each location to determine a corresponding feature of the second adaptively sampled distance field. Then, each distance value is modified according to the corresponding feature to determine a second distance value for each location.

Abstract: A method for converts an adaptively sampled distance field of a graphics model to a triangle model, The adaptively sampled distance field includes surface cells storing distance values that have corresponding gradients. A vertex is assigned to a center location of each surface cell. The vertices of neighboring surface cells are connected to form triangles while satisfying a predetermined constraint. Then, each vertex is moved, in a single step, to a new location according to the distance value and corresponding gradient of the vertex to substantially conform the triangles to a surface of the model.

Abstract: A method corrects an adaptively sampled distance field of a model. The adaptively sampled distance field includes a multiple of cells. Each cell stores distance values at vertices of the cell. The cells include interior cells, surface cells, and exterior cells, and neighboring cells have a common edge. Selected cells are marked as unprocessed cells, and the surface cells as marked as processed cells. A particular vertex of each unprocessed cell is marked as a minimum vertex if it has a minimum absolute value distance value. The unprocessed cells in an ascending order of the minimum vertices are further processed by appending, for each common edge of each unprocessed cell, distance values of neighboring processed cells to the common edge, adjusting the distance values of the vertices of the unprocessed cell according to the appended distance values of the edges and the distance values of the vertices, and marking the unprocessed cell as processed.

Abstract: A method and apparatus antialias a region of a set of objects. The set of objects is represented by a set of two-dimensional distance fields. Each distance field is partitioned into cells, where each cell is associated with a method for reconstructing the distance field within the cell. For each distance field, a set of cells associated with the region is identified. A set of pixels associated with the region is located and a set of components is specified for each pixel. For each component of each pixel, a corresponding distance for the component is determined for each distance field using the corresponding set of cells and the corresponding distances are combined to determine a combined distance. The combined distance is mapped to an antialiased intensity of the component of the pixel.