A simple en, ex marking rule for degenerate intersection points in 2D polygon clipping

نویسندگان

  • Romeo Traian Popa
  • Emilia-Cerna Mladin
  • Emil Petrescu
  • Tudor Prisecaru
چکیده

A simple en,ex rule to mark the intersection points of 2D input polygon contours separating the polygon interior from its exterior in the vicinity of the intersections is presented. Its form is close to the original Greiner & Hormann algorithm rule but encompasses degenerate intersections that are not self-intersections. It only uses local geometric information once the orientation of the two input contours is known. The approach foundation is the distinction between two features of the studied intersections: the geometric intersection point and the assembling/concatenation point of the result contour/border. No special form of the intersection finding procedure is required.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Simplified Linear-Time Jordan Sorting and Polygon Clipping

Given the intersection points of a Jordan curve with the x-axis in the order in which they occur along the curve, the Jordan sorting problem is to sort them into the order in which they occur along the x-axis. This problem arises in clipping a simple polygon against a rectangle (a “window”) and in efficient algorithms for triangulating a simple polygon. Hoffman, Mehlhorn, Rosenstiehl, and Tarja...

متن کامل

Efficient Triangle and Quadrilateral Clipping Within Shaders

Clipping a triangle or a convex quadrilateral to a plane is a common operation in computer graphics. This clipping is implemented by fixed-function units within the graphics pipeline under most rasterization APIs. It is increasingly interesting to perform clipping in programmable stages as well. For example, to clip bounding volumes generated in the Geometry unit to the near plane, or to clip a...

متن کامل

A Simple and Efficient Algorithm for Line and Polygon Clipping in 2-D Computer Graphics

The most popular lines clipping algorithms are Cohen-Sutherland and Liang-Barsky line clipping algorithm. These algorithms are complex and the steps of calculation are very high. This paper proposes a simple new line clipping algorithm for 2D space which uses the parametric equation of the line. This algorithm further easily extended to the polygon clipping by considering the edge of the polygo...

متن کامل

The arithmetic precision of ray-polygon intersection testing

By looking for algorithms that require minimum arithmetic precision, we obtain a simple ray-polygon intersection test that more easily handles degenerate cases.

متن کامل

A novel approach for ellipsoidal outer-approximation of the intersection region of ellipses in the plane

In this paper, a novel technique for tight outer-approximation of the intersection region of a finite number of ellipses in 2-dimensional (2D) space is proposed. First, the vertices of a tight polygon that contains the convex intersection of the ellipses are found in an efficient manner. To do so, the intersection points of the ellipses that fall on the boundary of the intersection region are d...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1709.00184  شماره 

صفحات  -

تاریخ انتشار 2017