Abstract: The present disclosure provides a method for generating a 3D digital model used in hairpiece manufacturing is provided, which comprises: obtaining an initial 3D model of a head; identifying an outline of a target area to be covered by a hairpiece on the initial 3D model; and cutting the initial 3D model based at least partially on the target area to obtain a refined 3D model. A physical mold used in hairpiece manufacturing and a method for generating the same are also provided according to other aspects of the present disclosure.

Abstract: A method for generating a 3D digital model used in hairpiece manufacturing is disclosed, which comprises: scanning a subject's head three-dimensionally by optical means, and obtaining 3D geometry and color information of the head, the 3D geometry and the color information having a positional correspondence therebetween; generating a 3D model of the head based on the 3D geometry and color information; identifying a target area to be covered by a hairpiece based on the color information; and obtaining position of the target area based on the positional correspondence between the 3D geometry and the color information. A system for generating a 3D digital model used in hairpiece manufacturing is also disclosed, which comprises a 3D optical scanner and an electronic device.

Abstract: A method of 3D modeling for hairpiece manufacturing, comprising: scanning a head and obtaining an initial 3D model of the head with 3D geometry and color information; displaying the 3D model to user on a display; receiving user input about an indication; and forming a corresponding indication on the 3D model, so as to obtain a refined 3D model. A physical mold used for creating a hairpiece and a method for generating the same are also disclosed according to other aspects of the present disclosure.

Abstract: A method for generating a 3D digital model used for creating a hairpiece are disclosed. The method comprises: obtaining a 3D model of a head, the 3D model containing a 3D surface mesh having one single boundary and color information associated with the 3D mesh; mapping the 3D model into a 2D image in such a manner that any continuously connected line on the 3D model is mapped into a continuously connected line in the 2D image, the 2D image containing a 2D mesh with color information applied thereto; displaying the 2D image; identifying a feature in the 2D image based on the color information; and mapping the identified feature back onto the 3D model. A system for generating a 3D digital model used for creating a hairpiece is also provided in another aspect of the present disclosure.

Abstract: The present disclosure provides a method for generating a 3D digital model used in hairpiece manufacturing is provided, which comprises: obtaining an initial 3D model of a head; identifying an outline of a target area to be covered by a hairpiece on the initial 3D model; and cutting the initial 3D model based at least partially on the target area to obtain a refined 3D model. A physical mold used in hairpiece manufacturing and a method for generating the same are also provided according to other aspects of the present disclosure.

Abstract: A method for generating a 3D digital model used in hairpiece manufacturing is disclosed, which comprises: scanning a subject's head three-dimensionally by optical means, and obtaining 3D geometry and color information of the head, the 3D geometry and the color information having a positional correspondence therebetween; generating a 3D model of the head based on the 3D geometry and color information; identifying a target area to be covered by a hairpiece based on the color information; and obtaining position of the target area based on the positional correspondence between the 3D geometry and the color information. A system for generating a 3D digital model used in hairpiece manufacturing is also disclosed, which comprises a 3D optical scanner and an electronic device.

Abstract: A method for generating a 3D digital model used for creating a hairpiece are disclosed. The method comprises: obtaining a 3D model of a head, the 3D model containing a 3D surface mesh having one single boundary and color information associated with the 3D mesh; mapping the 3D model into a 2D image in such a manner that any continuously connected line on the 3D model is mapped into a continuously connected line in the 2D image, the 2D image containing a 2D mesh with color information applied thereto; displaying the 2D image; identifying a feature in the 2D image based on the color information; and mapping the identified feature back onto the 3D model. A system for generating a 3D digital model used for creating a hairpiece is also provided in another aspect of the present disclosure.

Abstract: A classical way of finding the harmonic map is to minimize the harmonic energy by the time evolution of the solution of a nonlinear heat diffusion equation. To arrive at the desired harmonic map, which is a steady state of this equation, an efficient quasi-implicit Euler method (QIEM) is revealed and its convergence under some simplifications is analyzed. It is difficult to find the stability region of the time steps if the initial map is not close to the steady state solution. A two-phase approach for the quasi-implicit Euler method (QIEM) is disclosed to overcome this drawback. In order to accelerate the convergence, a variant time step scheme and a heuristic method used to determine an initial time step have been developed. Numerical results clearly demonstrate that the present method far computing the spherical conformal and Riemnann mappings achieves high performance.

Abstract: A method for computing conformal parameterizations is revealed. First discrete conformal maps are reviewed for computing a generalized eigenvalue problem (GEP) arising from spectral conformal parameterization. Then nonequivalence deflation and null-space free compression techniques are applied to transform the GEP to a small-scaled compressed and deflated standard eigenvalue problem (CDSEP). Lastly a skew-Hamiltonian isotropic Lanczos algorithm (SHILA) is used to solve the CDSEP. Numerical experiments and comparisons are presented to show that the present method compute the conformal parameterization accurately and efficiently.

Abstract: A 3D surface morphing method based on conformal parameterization for creation of 3D animation of facial expressions is revealed. Prepare a 3-dimensional first human face and a 3-dimensional second human face. Prepare a first unit disk and a second unit disk in a two-dimensional surface form, corresponding to the first human face and the second human face respectively. Then use a first mapping unit to map the first human face and the second human face to the first unit disk and the second unit disk respectively. Use a matching module to construct a surface matching function between the two unit disks. Use a second mapping module to map the surface matching function for getting a 3D matching function. Use an interpolation module to compute the 3D matching function multiple times and get a plurality of smooth deformable surfaces between the first human face and the second human face.

Abstract: A method for solving high-dimensional nonlinear filtering problems is revealed. The method uses a fast computational module to solve an equation and get approximate numerical solutions of a signal-observation model. The equation-solving process of the fast computational module is speeded up by a transformation module and the computational stability is further improved. D-dimensional nonlinear filtering problems are solved and approximate numerical solutions are obtained based on Yau-Yau filtering theory. A Quasi-Implicit Euler Method (QIEM) is applied to solve the Kolmogorov equations and estimate approximate numerical solutions of the signal-observation model. Moreover, QIEM is more efficient and the numerical solutions are more stable by Fast Fourier transformation (FFT) acceleration.

Abstract: A system for simultaneous real-time three-dimensional geometry and color texture acquisition. The system includes a system processor for generating at least three phase shifted black and white fringe patterns with a phase shift of 2 ?/3, a light projector adapted to project the fringe patterns onto an object, the projector being electrically connected with the system processor, and a color camera for capturing the fringe patterns to generate at least three raw fringe images. The fringe images are used to calculate a black and white texture image which is further converted to a color image by employing a demosaicing algorithm. The fringe images are also used to calculate a wrapped phase map that is further processed to generate a continuous unwrapped phase map by employing a phase unwrapping algorithm and the unwrapped phase map is converted to co-ordinates using calibrated system parameters for point-by-point three-dimensional shape measurement.

Abstract: A method and associated apparatus for capturing an image of a 3D object (100) which encodes the surface geometry of at least a portion of the object, comprising: 1. projecting (304) a plurality of fringe patterns (312A, 314A) onto the object; 2. capturing (306) phase alterations in reflections of the fringe patterns (312B, 314B) from the object; 3. projecting a uniform image (310A) onto the object; 4. capturing a reflection of the uniform image (310B) from the object; and 5. combining (310) captured phase alterations and captured uniform image reflection on a pixel-by-pixel basis, thereby forming a holoimage representation of the object.

Abstract: A system for simultaneous real-time three-dimensional geometry and color texture acquisition. The system includes a system processor for generating at least three phase shifted black and white fringe patterns with a phase shift of 2 ?/3, a light projector adapted to project the fringe patterns onto an object, the projector being electrically connected with the system processor, and a color camera for capturing the fringe patterns to generate at least three raw fringe images. The fringe images are used to calculate a black and white texture image which is further converted to a color image by employing a demosaicing algorithm. The fringe images are also used to calculate a wrapped phase map that is further processed to generate a continuous unwrapped phase map by employing a phase unwrapping algorithm and the unwrapped phase map is converted to co-ordinates using calibrated system parameters for point-by-point three-dimensional shape measurement.

Abstract: A method and associated apparatus for capturing an image of a 3D object (100) which encodes the surface geometry of at least a portion of the object, comprising: 1. projecting (304) a plurality of fringe patterns (312A, 314A) onto the object; 2. capturing (306) phase alterations in reflections of the fringe patterns (312B, 314B) from the object; 3. projecting a uniform image (310A) onto the object; 4. capturing a reflection of the uniform image (310B) from the object; and 5. combining (310) captured phase alterations and captured uniform image reflection on a pixel-by-pixel basis, thereby forming a holoimage representation of the object.

Abstract: A method of analyzing and recognizing fingerprint images that utilizes vector processing of a vector field that is defined as the tangential vector of the fingerprint ridge curves is disclosed. The raw fingerprint image is divided into blocks, filtered to remove noise, and the orientation direction of each block is found. This allows the ridge curves to be enhanced and approximated by piece-wise linear approximations. The piece-wise linear approximations to the ridge curves allow the minutiae to be extracted and classified and a fingerprint minutiae template to be constructed. An enrollment process gathers multiple fingerprint images, creates fingerprint minutiae templates corresponding to the acquired fingerprint images, and stores the templates and other data associated with the respective individual or the enrolled fingerprint in a fingerprint database.

Abstract: A method for analyzing, classifying, and recognizing geometric surfaces is disclosed. Geometric surfaces are treated as Riemann manifolds and the conformal structure corresponding to the surfaces is calculated. The conformal structure of the surface contains the intrinsic geometric information about the surface, but in a much more compact format as compared to other representations. Conformally mapping the surface to a canonical parameter domain, such as a disk, sphere, or plane retains the geometric information of the surface, and renders the calculation of conformal structure much easier. Various applications enabled by such a conformal representation include surface matching, surface cataloging, surface recognition, animation and morphing between surfaces, and other mathematical analysis.

Abstract: A method of analyzing and recognizing fingerprint images that utilizes vector processing of a vector field that is defined as the tangential vector of the fingerprint ridge curves is disclosed. The raw fingerprint image is divided into blocks, filtered to remove noise, and the orientation direction of each block is found. This allows the ridge curves to be enhanced and approximated by piece-wise linear approximations. The piece-wise linear approximations to the ridge curves allow the minutiae to be extracted and classified and a fingerprint minutiae template to be constructed. An enrollment process gathers multiple fingerprint images, creates fingerprint minutiae templates corresponding to the acquired fingerprint images, and stores the templates and other data associated with the respective individual or the enrolled fingerprint in a fingerprint database.

Abstract: A method of analyzing and recognizing fingerprint images that utilizes vector processing of a vector field that is defined as the tangential vector of the fingerprint ridge curves is disclosed. The raw fingerprint image is divided into blocks, filtered to remove noise, and the orientation direction of each block is found. This allows the ridge curves to be enhanced and approximated by piece-wise linear approximations. The piece-wise linear approximations to the ridge curves allow the minutiae to be extracted and classified and a fingerprint minutiae template to be constructed. An enrollment process gathers multiple fingerprint images, creates fingerprint minutiae templates corresponding to the acquired fingerprint images, and stores the templates and other data associated with the respective individual or the enrolled fingerprint in a fingerprint database.

Abstract: A method of analyzing and recognizing fingerprint images that utilizes vector processing of a vector field that is defined as the tangential vector of the fingerprint ridge curves is disclosed. The raw fingerprint image is divided into blocks, filtered to remove noise, and the orientation direction of each block is found. This allows the ridge curves to be enhanced and approximated by piece-wise linear approximations. The piece-wise linear approximations to the ridge curves allow the minutiae to be extracted and classified and a fingerprint minutiae template to be constructed. An enrollment process gathers multiple fingerprint images, creates fingerprint minutiae templates corresponding to the acquired fingerprint images, and stores the templates and other data associated with the respective individual or the enrolled fingerprint in a fingerprint database.