"From circle to 3-sphere: Head pose estimation by instance parameterization." Computer Vision and Image Understanding 136 (2015): 92-102.X. Peng, J. Huang, O. Hu, S. Zhang, A. Elgammal, and D. Metaxas, "From ci
In what follows, we represent the boundary of a 3D object as an embedding f:S2→R3. Here, we assume that the parameterization domain is the unit sphere. It maps every point s=(u,v)∈S2 to a point f(s)∈R3. For clarity purposes, we assume at this stage that the given surfaces ha...
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In the smooth setting, minimizing the variation of u and v will lead to an injective mapping if the boundary is constrained to a closed convex curve. In the discrete setting, poor triangle shapes in the original 3D mesh could lead to negative cotangent weights w i j so the positive stiffne...
The use of computer graphics in many areas allows a real object to be transformed into a three-dimensional computer model (3D) by developing tools to improve the visualization of two-dimensional (2D) and 3D data from series of data point. The tools involved the representation of 2D and 3D ...
To facilitate the computations and analyses of point clouds, prior works have considered parameterizing them onto some simple planar domains with a fixed boundary shape such as a unit circle or a rectangle. However, the geometry of the fixed shape may lead to some undesirable distortion in the ...
The shape of the strut centerline was derived via a combination of NURBS, PARSEC, quarter circle, and straight line segments. Shape matching for complex 3D geometries, such as the contemporary stents within limited function evaluations, is not trivial and requires efficient parameterization and ...
Firstly, we extract the axis curve of the object by a heat conduction model. Secondly, we obtain the latitude circles by using the normal planes to cross the surface. Then we get the final parameterized surface with quad-dominant meshes by registering the points of single latitude circle and ...
A Parameterization Surface in Computer Science refers to the process of flattening a surface onto a simple domain, such as a 2D unit disk or rectangle, to enable geometric matching between two images based on corresponding quantities like curvatures. ...
Among all these algorithms, only the holomorphic differentials =-=[48, 51]-=-, Ricci flow methods [49, 50] and circle packing method [43] work on high genus surfaces while circle packing method can only generate quasi-conformal mapping (see a discussion in [50]). With the Ricc......