Triangular B-splines are a new tool for modeling a broad class of objects defined over arbitrary, nonrectangular domains. They provide an elegant and unified representation scheme for all piecewise continuous polynomial surfaces over planar triangulations. To enhance the power of this model, we propose triangular NURBS, the rational generalization of triangular B-splines, with weights as additi...

Free-form deformation is an important geometric shape modification method in computer animation and geometric modeling. We explore it by means of functional composition via shifting operators. Our method takes a polygonal model as input but yields a curved model described by triangular Bézier patches as output. The proposed method also solves the sample problem of free-form deformation. keyword...

A microalgafrom Chlorarachniaceae was found in the shallow runoffs of south Tehran. Morphological and intracellular structures were studied which in accordance with the identification key (Hirakawa et al. 2011), it is found to be a new species for Iran called Amorphochlora amoebiformis (Ishida & Y. Hara) Ishida, Yabuki & S. Ota. This algahas been derived and ...

Triangular B-splines are a new tool for modeling a broad class of objects de ned over arbitrary, non-rectangular domains. They provide an elegant and uni ed representation scheme for all piecewise continuous polynomial surfaces over planar triangulations. To enhance the power of this model, we propose triangular NURBS, the rational generalization of triangular B-splines, with weights as additio...

We present a novel approach to morph between two isometric poses of the same non-rigid object given as triangular meshes. We model the morphs as linear interpolations in a suitable shape space S. For triangulated 3D polygons, we prove that interpolating linearly in this shape space corresponds to the most isometric morph in R. We extend this shape space to arbitrary triangulations in 3D using a...

Non-rigid shape matching is one of the most challenging fields in content-based 3D object retrieval. The aim of the SHREC 2010 Shape Retrieval Contest of Non-rigid 3D Models is to evaluate and compare the effectiveness of different methods run on a non-rigid 3D shape benchmark consisting of 200 watertight triangular meshes. Three groups with six methods have participated in this track and the r...

An automatic adaptive quadrilateral mesh conversion scheme for the generation of adaptive refinement meshes over analytical curved surfaces is proposed. The starting point of the quadrilateral mesh generator is a background triangular mesh of the curved surface. By a carefully controlled process to merge two triangles at a time the triangular mesh can be completely converted to quadrilaterals. ...

The purpose of this clinical report was to introduce a simple and effective way of performing ectopic eruption treatment utilizing a triangular wedging spring. This consists of 3 helical loops in a triangular shape with 0.018-inch Australian wire. The middle helical loop is made for wedging spring action, while the other 2 helical loops are action arms inserted between the second primary molar ...

Triangular shape object detection in color images is an important issue in computer vision. However, there are few reports on this matter. In this paper, we proposed a novel approach, which combines a global contour based line segment detection algorithm and Markov Random Field (MRF) Model, to extract triangular objects from color images. First, we use an elaborate edge detection algorithm to o...