Re: Projecting segment with normals
cbull <cbull@xxxxxxxxxxxxxx> wrote:
> Let's say I have a segment with two normalized vectors at its ends. I have
> also a plane.
> Now I do a linear interpolation of the vectors and project every point on
> the segment on the plane in the direction of the interpolated vector
> associated with this point.
Those are two separate problems combined into one. You had better
look at each on its own. First find out what's the behaviour of
"point along the segment offset by an interpolated vector" in 3D.
Once you know that, you can project it onto a plane.
Without carrying out all the maths, I think the result will be another
straight line segment.
--
Hans-Bernhard Broeker (broeker@xxxxxxxxxxxxxxxxxxxxx)
Even if all the snow were burnt, ashes would remain.
.
Relevant Pages
- Projecting segment with normals
... Let's say I have a segment with two normalized vectors at its ends. ... Now I do a linear interpolation of the vectors and project every point on ... the segment on the plane in the direction of the interpolated vector ... What curve will I get? ...
(comp.graphics.algorithms) - Re: Picking/object selection in directx
... One method I've used to trim down this task uses bounding spheres pre-calculated for each object, and tests them against the line segment under the cursor spanning the near clipping plane to the far clipping plane. ... At render time I've already done some coarse trimming to limit the rendering to likely visible objects, so already I've trimmed down the number of tests that may need performed. ... If it is less than or equal to the square of the bounding sphere radius, ...
(microsoft.public.win32.programmer.directx.graphics) - Re: Upsampling real-time data using DFT
... For each segment, compute a DFT. ... Pad the DFT coefficients with enough zeroes to yield a total of N*P coefficients. ... When P=65536, the results were better than the usual method of interpolation followed by low-pass filtering because the spectrum was not distorted by our inability to obtain a perfectly square, perfectly flat, low-pass filter. ...
(comp.dsp) - Re: Upsampling real-time data using DFT
... So this last odd point is a Fourier interpolation at location N-0.5 ... point of this segment and the first point of the next segment. ... The optimum shape has a vertical cross section of a raised cosine just wide enough to reach from the center of the scan line below to the center of the scan line above. ...
(comp.dsp) - Re: Is one-to-one mapping valid for comparing infinite-sized sets?
... continuum is being cut into parts. ... properties would convert a line segment into a point just by cutting ... a plane instead of line? ... If points can have different arrangement, ...
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