Conformal Spherical Parameterization and its Application

Spherical parameterization is one of geometry processing techniques which maps a mesh to a sphere, and is expected to the use in the various applications of computer graphics, CAD/CAM and so on. In this paper, we propose a robust and fast computation method for high quality conformal spherical param … Continue reading “Conformal Spherical Parameterization and its Application”

MeshToSS: Converting Subdivision Surfaces from Dense Meshes

This paper introduces the theoretical aspects of MeshToSS, a software system for converting dense triangle meshes into Loop subdivision surfaces. The software takes mesh-format data such as VRML and transforms it into a subdivision surface that approximates the input mesh. The output is either the c … Continue reading “MeshToSS: Converting Subdivision Surfaces from Dense Meshes”

Approximate Shortest Path on Polyhedral Surface and Its Applications

A new algorithm is proposed for calculating the approximate shortest path on a polyhedral surface. The method mainly uses Dijkstra’s algorithm and is based on selective refinement of the discrete graph of a polyhedron. Although the algorithm is an approximation, it has the significant advantag … Continue reading “Approximate Shortest Path on Polyhedral Surface and Its Applications”

Interactive Mesh Fusion Based on Local 3D Metamorphosis

This paper proposes a new mesh modeling scheme, called mesh fusion, based on three-dimensional (3D) mesh-based metamorphosis. We establish the attachment from a part of one mesh to a part of another with smooth boundaries, employing the traditional cutting and pasting operation in conjunction with a … Continue reading “Interactive Mesh Fusion Based on Local 3D Metamorphosis”

Three-dimensional Geometric Metamorphosis Based on Harmonic Maps

Today, animations with deforming objects are frequently used in various computer graphics applications. Metamorphosis (or morphing) of three-dimensional (3D) objects is one of the techniques which realize a shape transformation between two or more existing objects. We present a new algorithm for 3D … Continue reading “Three-dimensional Geometric Metamorphosis Based on Harmonic Maps”