PLbending(PL,Rx,de,Ry,Rz,cent)- bends a CPL on a cylinder or spherical ellipsoid

% PLbending(PL,Rx,de,Ry,Rz,cent) - bends a CPL on a cylinder or spherical ellipsoid % (by Tim Lueth, VLFL-Lib, 2017-MÄR-29 as class: SURFACES) % % This fnctn bends closed polygon line on a radial sphere (cylinder or % ball). The original CPL is not modified, i.e. it is not intended to add % additional points on the surface before the bending: % Use CPLaddauxpoints to add points on the contour. % Use PLFLofCPLdelaunayGrid to add points on the surface % (Status of: 2017-03-29) % % See also: CPLaddauxpoints, PLFLofCPLdelaunayGrid, SGbending % % PLN=PLbending(PL,[Rx,de,Ry,Rz,cent]) % === INPUT PARAMETERS === % PL: Point List % Rx: Radius Rx % de: distance/intrusion; default is -0.1 % Ry: Optional radius Ry; default is 10000 % Rz: Optional radius Rz; default is Rx % cent: center solid before bending; default is true % === OUTPUT RESULTS ====== % PLN: Vertex list of the bended point list % % EXAMPLE: Bends a CPL 1 mm above a sphere % CPL=CPLoftext('Test'); PLbending(CPLaddauxpoints(CPL,1),50,10,50,50); % [PL,FL,EL]=PLFLofCPLdelaunayGrid(CPL,1,1,1); VLFLplot(PL,FL); % PL=PLbending(PL,50,10,50,50); VLFLplot(PL,FL); %

SGbending(SG,Rx,de,Ry,Rz,cent)- beates a solid geoemtry on a cylinder or spherical ellipsoid

% SGbending(SG,Rx,de,Ry,Rz,cent) - beates a solid geoemtry on a cylinder or spherical ellipsoid % (by Tim Lueth, VLFL-Lib, 2017-MÄR-29 as class: SURFACES) % % This fnctn bends a solid geometry on a radial sphere (cylinder or % ball). The original solid is not modified, i.e. it is not intended to % add additional points on the surface before the bending: % Use CPLaddauxpoints to add points on the contour % Use PLFLofCPLdelaunayGrid to add point on the surface % Use SGofCPLzdelaunayGrid to create solids with a grid % (Status of: 2017-03-29) % % See also: SGofCPLzdelaunayGrid, SGofCPLsphere, CPLaddauxpoints, % PLFLofCPLdelaunayGrid % % SGN=SGbending(SG,[Rx,de,Ry,Rz,cent]) % === INPUT PARAMETERS === % SG: Solid Geometry % Rx: Radius Rx % de: distance/intrusion; default is -0.1 % Ry: Optional radius Ry; default is 10000 % Rz: Optional radius Rz; default is Rx % cent: center solid before bending; default is true % === OUTPUT RESULTS ====== % SGN: Solid Geometry % % EXAMPLE: Bends a surface 1 mm above a sphere % SG=SGofCPLzdelaunayGrid(CPLoftext('Test'),2,1,1,1); % SGbending(SG,50,1,20,50) % SGbending(SG,50,1,20,50,false) %

SGcutBB(SG,ax,de)- cuts out a bounding box from a solid

% SGcutBB(SG,ax,de) - cuts out a bounding box from a solid % (by Tim Lueth, VLFL-Lib, 2017-MÄR-29 as class: SURFACES) % % THis fnctn uses SGcut for creating the output result, not SGbool. It % must be clear, that this fnctn creates a lot of additional points at % the surfaces (Status of: 2017-03-29) % % See also: SGcut, SGbool % % SGN=SGcutBB(SG,ax,[de]) % === INPUT PARAMETERS === % SG: Solid geometry % ax: axis, such as Bounding box % de: delta to add on each side; default is 0; % === OUTPUT RESULTS ====== % SGN: resulting solid % % EXAMPLE: % SGcutBB (SGbox([30,20,10]),[0 5 -2 2 0 4]) % SGcutBB (SGbox([30,20,10]),[-inf inf -3 3 -2 2]) % A=SGbool('x',SGbox([30,20,10]),SGofBB([-1000 1000 -3 3 -2 2])); % SGfigure(A) %

insidePLELdelaunay(PL,EL,GPL)- returns whether a point is inside/outside a contour

% insidePLELdelaunay(PL,EL,GPL) - returns whether a point is inside/outside a contour % (by Tim Lueth, VLFL-Lib, 2017-MÄR-28 as class: ANALYTICAL GEOMETRY) % % This fnctn use delaunayTriangulation and makes sense only for larger % grid point list not for individual Points. Works only with 2D point % list and a correct contour edge list. (Status of: 2017-03-28) % % See also: insidePLEL % % [ki,XVL,XFL,XEL]=insidePLELdelaunay(PL,EL,GPL) % === INPUT PARAMETERS === % PL: 2D Point list % EL: Contour edge list % GPL: Grid point list or Point list % === OUTPUT RESULTS ====== % ki: +1==inside, -1==outside, 0== on the contour % XVL: Point List % XFL: Face List % XEL: Edge list % % EXAMPLE: % CPL=CPLaddauxpoints(CPLsample(12),1); % [PL,EL]=PLELofCPL(CPL); % GPL = GPLauxgridpointsPLEL(PL,EL,1,1); % insidePLELdelaunay(PL,EL,GPL); %