Determine the half-space method, Mechanical Engineering

Assignment Help:

Half-space Method

Solid representation is based fundamentally on the notion that a physical object divides an n-dimensional space En into two regions: interior and exterior, separated by object boundaries. In terms of above notion, a solid model of an object is defined mathematically as a point set S in 3-D Euclidean space (E3). 

Suppose a surface divides the whole of three-dimensional space into two distinct regions. Each such region is called a "half-space". This does NOT imply that they are equal in volume. One possible surface is the sphere denoted by the equation 

                                 X * X + Y * Y + Z * Z = 1

 


Related Discussions:- Determine the half-space method

Evaluate the composite transformation matrix, A triangle ABC with vertices ...

A triangle ABC with vertices A (30,20), B(90,20), C(30,80) is to be scaled by a factor of 0.5 about a point X(50,40). Calculate :- (i) The composite transformation matrix; and

Calculated the slope of the cantilever, Calculated the slope of the cantile...

Calculated the slope of the cantilever: Calculated the slope of the cantilever given in Example 6 at its free end. Solution To find out rotation in a beam we must have

Joint details and preparations, Joint Details and Preparations Joints s...

Joint Details and Preparations Joints shall be prepared by machining, flame cutting with grinding to bright metal or air-carbon arc gouging with grinding to bright metal such t

Dynamic machine routing, Dynamic Machine Routing  Machine routing ident...

Dynamic Machine Routing  Machine routing identifies the machines that are needed for each of the operation of a given job. Within the JSP or Job Shop Scheduling Problem model,

Types of electron beam welding gun, TYPES OF ELECTRON BEAM WELDING GUN ...

TYPES OF ELECTRON BEAM WELDING GUN   Diode (Cathode - anode) Gun : In this gun, the beam shaping electrode and the emitter are both at the same electrical potentials. These

Thermodynamic process - thermodynamics, Thermodynamic process - Thermodynam...

Thermodynamic process - Thermodynamics: Thermodynamic system undergoes changes because of the energy and mass interactions. Thermodynamic state of system changes because of th

Significance of damping coefficient, Physical significance of damping coeff...

Physical significance of damping coefficient and it''s unit.

Explain the open system - thermodynamic, Explain the Open system - Thermody...

Explain the Open system - Thermodynamic The system that can exchange both of the mass and energy that is Heat and work with its surrounding, the mass in the system may not be c

White worth quick return mechanism, Which mechanism more efficiency? What i...

Which mechanism more efficiency? What is the reason ?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd