Abstract: A method for fabricating custom surface reflectance and spatially-varying bi-directional reflectance distribution functions (BDRFs or svBRDFs). The 3D printing method optimizes micro-geometry to produce a normal distribution function (NDF) that can be printed on surfaces with a 3D printer. Particularly, the method involves optimizing the micro-geometry for a wide range of analytic NDFs and simulating the effective reflectance of the resulting surface. Using the results of the simulation, the appearance of an input svBRDF can be reproduced. To this end, the micro-geometry is optimized in a data-driven fashion and distributed on the surface of the printed object. The methods were demonstrated to allow 3D printing svBRDF on planar samples with current 3D printing technology even with a limited set of printing materials, and the described methods have been shown to be naturally extendable to printing svBRDF on arbitrary shapes or 3D objects.

Abstract: A method for fabricating custom surface reflectance and spatially-varying bi-directional reflectance distribution functions (BDRFs or svBRDFs). The 3D printing method optimizes micro-geometry to produce a normal distribution function (NDF) that can be printed on surfaces with a 3D printer. Particularly, the method involves optimizing the micro-geometry for a wide range of analytic NDFs and simulating the effective reflectance of the resulting surface. Using the results of the simulation, the appearance of an input svBRDF can be reproduced. To this end, the micro-geometry is optimized in a data-driven fashion and distributed on the surface of the printed object. The methods were demonstrated to allow 3D printing svBRDF on planar samples with current 3D printing technology even with a limited set of printing materials, and the described methods have been shown to be naturally extendable to printing svBRDF on arbitrary shapes or 3D objects.

Abstract: A method for fabricating custom surface reflectance and spatially-varying bi-directional reflectance distribution functions (BDRFs or svBRDFs). The 3D printing method optimizes micro-geometry to produce a normal distribution function (NDF) that can be printed on surfaces with a 3D printer. Particularly, the method involves optimizing the micro-geometry for a wide range of analytic NDFs and simulating the effective reflectance of the resulting surface. Using the results of the simulation, the appearance of an input svBRDF can be reproduced. To this end, the micro-geometry is optimized in a data-driven fashion and distributed on the surface of the printed object. The methods were demonstrated to allow 3D printing svBRDF on planar samples with current 3D printing technology even with a limited set of printing materials, and the described methods have been shown to be naturally extendable to printing svBRDF on arbitrary shapes or 3D objects.

Abstract: A three-dimensional relief can be produced from one or more two-dimensional digital (2D) images. A height field is computed from the 2D images and illumination direction information. The height field comprises a multiplicity of geometric surface elements arrayed in a 2D field corresponding to the pixels of the one or more 2D images. Each geometric surface element corresponds to a pixel of each of the digital images and has at least one height parameter representing a displacement from a surface floor. Once the height field is computed, optimizations can be made to the height field including adding and adjusting albedo and glossy surface finishing. The height field can be used to fabricate relief elements in a material, such that each relief element corresponds in shape, position in the height field, and height above the surface floor, to one of the geometric surface elements in the height field.

Abstract: A method for fabricating custom surface reflectance and spatially-varying bi-directional reflectance distribution functions (BDRFs or svBRDFs). The 3D printing method optimizes micro-geometry to produce a normal distribution function (NDF) that can be printed on surfaces with a 3D printer. Particularly, the method involves optimizing the micro-geometry for a wide range of analytic NDFs and simulating the effective reflectance of the resulting surface. Using the results of the simulation, the appearance of an input svBRDF can be reproduced. To this end, the micro-geometry is optimized in a data-driven fashion and distributed on the surface of the printed object. The methods were demonstrated to allow 3D printing svBRDF on planar samples with current 3D printing technology even with a limited set of printing materials, and the described methods have been shown to be naturally extendable to printing svBRDF on arbitrary shapes or 3D objects.

Abstract: A three-dimensional relief can be produced from one or more two-dimensional digital (2D) images. A height field is computed from the one or more 2D images and illumination direction information. The height field comprises a multiplicity of geometric surface elements arrayed in a 2D field corresponding to the pixels of the one or more 2D images. Each geometric surface element corresponds to a pixel of each of the digital images and has at least one height parameter representing a displacement from a surface floor. Once the height field is computed, optimizations or adjustments can optionally be made to the height field. The height field can be used to fabricate relief elements in a material, such that each relief element corresponds in shape, position in the height field, and height above the surface floor, to one of the geometric surface elements in the height field.

Abstract: A method for generating a self-occlusion surface for an image. The method includes receiving the image, receiving a selection of a material with which to construct the self-occlusion surface, and receiving calibration data associated with the material. A plurality of pits is determined, based on the image and calibration data, to define within the self-occlusion surface. A preview of the self-occlusion surface is rendered based on the plurality of pits and the material.

Abstract: A three-dimensional relief can be produced from one or more two-dimensional digital (2D) images. A height field is computed from the 2D images and illumination direction information. The height field comprises a multiplicity of geometric surface elements arrayed in a 2D field corresponding to the pixels of the one or more 2D images. Each geometric surface element corresponds to a pixel of each of the digital images and has at least one height parameter representing a displacement from a surface floor. Once the height field is computed, optimizations can be made to the height field including adding and adjusting albedo and glossy surface finishing. The height field can be used to fabricate relief elements in a material, such that each relief element corresponds in shape, position in the height field, and height above the surface floor, to one of the geometric surface elements in the height field.

Abstract: A three-dimensional relief can be produced from one or more two-dimensional digital (2D) images. A height field is computed from the one or more 2D images and illumination direction information. The height field comprises a multiplicity of geometric surface elements arrayed in a 2D field corresponding to the pixels of the one or more 2D images. Each geometric surface element corresponds to a pixel of each of the digital images and has at least one height parameter representing a displacement from a surface floor. Once the height field is computed, optimizations or adjustments can optionally be made to the height field. The height field can be used to fabricate relief elements in a material, such that each relief element corresponds in shape, position in the height field, and height above the surface floor, to one of the geometric surface elements in the height field.