Point Orthogonal Projection onto a Spatial Algebraic Curve [PDF]
Point orthogonal projection onto a spatial algebraic curve plays an important role in computer graphics, computer-aided geometric design, etc. We propose an algorithm for point orthogonal projection onto a spatial algebraic curve based on Newton’s ...
Taixia Cheng +3 more
doaj +4 more sources
A Geometric Orthogonal Projection Strategy for Computing the Minimum Distance Between a Point and a Spatial Parametric Curve [PDF]
A new orthogonal projection method for computing the minimum distance between a point and a spatial parametric curve is presented. It consists of a geometric iteration which converges faster than the existing Newton’s method, and it is insensitive to the
Xiaowu Li +5 more
doaj +5 more sources
Application of Orthogonal Polynomial in Orthogonal Projection of Algebraic Surface
Point orthogonal projection onto an algebraic surface is a very important topic in computer-aided geometric design and other fields. However, implementing this method is currently extremely challenging and difficult because it is difficult to achieve to ...
Xudong Wang, Xiaowu Li, Yuxia Lyu
doaj +3 more sources
Orthogonal projection of points in CAD/CAM applications: an overview
Abstract This paper aims to review methods for computing orthogonal projection of points onto curves and surfaces, which are given in implicit or parametric form or as point clouds. Special emphasis is place on orthogonal projection onto conics along with reviews on orthogonal projection of points onto curves and surfaces in implicit and
Takis Sakkalis, Ko Kwanghee
exaly +2 more sources
COMPUTER GRAPHICAL REPRESENTATION, IN TREBLE ORTHOGONAL PROJECTION, OF A POINT
In the stages of understanding and study, by students, of descriptive geometry, the treble orthogonal projection of a point, creates problems in the situations in that one or more descriptive coordinates are zero.
Andrei Slonovschi, Liviu Pruna
doaj +5 more sources
Norming points and unique minimality of orthogonal projections [PDF]
We study the norming points and norming functionals of symmetric operators on Lp spaces for p = 2m or p = 2m/(2m − 1). We prove some general result relating uniqueness of minimal projection to the set of norming functionals. As a main application, we obtain that the Fourier projection onto span [1, sinx, cosx] is a unique minimal projection in Lp.
Shekhtman, Boris, Skrzypek, Lesław
openaire +5 more sources
Development of a Software for Path Planning in Wire Arc Additive Manufacturing [PDF]
Along with the recent spread of 3D printing technology, researchers have developed various materials and equipment, now widely disseminated among individuals and industries.
Chi Woo Ahn +3 more
doaj +1 more source
Real Projective Plane Mapping for Detection of Orthogonal Vanishing Points [PDF]
This paper deals with the detection of orthogonal vanishing points. The aim is to efficiently cope with the clutter edges in real-life images and to determine the camera orientation in the Manhattan world reliably. We are using a modified scheme of the Cascaded Hough Transform where only one Hough space is accumulated – the space of the vanishing ...
Markéta Dubská, Adam Herout
openaire +1 more source
Optimization reconstruction of projective point of laser line coordinated by orthogonal reference [PDF]
AbstractA 3D reconstruction method is presented for the laser projective point of a laser line, which is located by an orthogonal reference. The laser line is initially expressed by the Plücker matrix generated from two random points on the line and then transformed to the dual Plücker matrix representation.
Xu, Guan +3 more
openaire +2 more sources
A Post-Scan Point Cloud Colorization Method for Cultural Heritage Documentation
The 3D laser scanning technique is important for cultural heritage documentation. The laser itself normally does not carry any color information, so it usually requires an embedded camera system to colorize the point cloud.
Ting On Chan +6 more
doaj +1 more source

