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Based on the assumption that low-resolution image is sampled from an original scene approximated by piecewise polynomial surface, this paper proposes two different constraints to make the fitting surface of the original scene preserve the image's edge characteristics. We first construct a cubic parametric curve to approximate the edge in each local area and obtain an auxiliary pixel set by re-sampling...
This paper discusses a new non-linear normal based subdivision scheme for surface interpolation of triangular meshes. The limit surface is G1 continuous, interpolating the mesh conditions (position and normal). Examples are presented, and some reconstruct sphere surface.
A novel method is proposed to compute the minimum distance between two 2D or 3D NURBS curves using control polygons in an efficient and robust way. The first step is to decompose both of NURBS curves into their piecewise Bzier forms. The second step is to use a two level selection process to select a subset of all possible pairs. The first level selection uses upper-lower bounding boxes of Bzier subcurves...
This paper discuss the property of symmetric data interpolation surface. For the given data, when the parameters very, the interpolating surface varies, so the interpolating surfaces can be modified by selecting suitable parameters under the condition that the interpolation data are not changed. The problem is that when the two parameters vary, how does the interpolating surface change. The discussion...
This paper presents a new method for triangulation of implicit surfaces. Particle system is used for sampling on the given implicit surface to get steady and even particles. Two normal added vertices are obtained by extending the particle to an equal distance along the out normal vector and the inner normal vector. Two different methods for triangulation of implicit surfaces are presented. One is...
Given a triangulated mesh with the positions and outer surface normal values at the vertexes, this paper presents a scheme to construct a G1 continuous triangular interpolation surface. Most of local interpolation methods suffer from similar defect that the shape of the constructed surface is flat, the shape of the constructed surfaces by scheme of this paper is not flat, and some surfaces can be...
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