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Code Listing by Dr. Murtaza Khan

Code 1-9 of 9   






(1) bezierInterp.m
-------------------
A function for Bezier interpolation for given four
control points. Each control point can be in N-Dimensional vector space. Optionally a vector t can be pass then bezier curve would be evaluated at values stored in vector t. By default bezier curve would be evaluated at 101 values between 0 and 1.

Ouput of function is evaluated values in N-Dimensional vector space.

(2)...



INPUT:
x: vector of numeric values, x should already be sorted in ascending order
(e.g. 2,7,20,...120)
sval: numeric value to be search in x

OUTPUT:
index: index of sval with respect to x. If sval is not found in x...



(1) CubicBezier1.m : Evaluates Cubic Bezier Curve for given four Control Points and interval.

(2) PlotBezier1.m : Plots Bezier Curve, Control Points, Control Polygon

(3) TestCircleApproxByCubicBezier.m : Test Program. Pass...



Search value 'v' in sorted vector 'x' and find index and value
with respect to vector x that is equal or closest to 'v'.

If more than one value is equal then anyone can be returned
(this is property of binary search).
If...



reshape1dto2dbalance.m
----------------------
If possible then reshapes 1D array (vector) 'A' into 2D array 'B' such that:
abs(NC-NR) is minimized
where
NR=number of rows in B
NC=number of columns B
Note:...



Quadtree decomposition of RGB image of size M-by-N-by-3. Three thresholds for red,green and blue components are used. For any R or G or B block if the maximum value of the block elements minus the minimum value of the block elements is greater...



mergesorted.m
------------------
If we have two individually sorted vectors "a" and "b" but they are not sorted with respect to each other and we want to merge them into vector "c" such that "c" is...



Euler Angles To Quaternion Conversion for six basic sequence of rotations around X(Roll),Y(Pitch) and Z(Yaw) axis.

Allowed Sequences: xyz, xzy, yxz, yzx, zxy, zyx.



Computes Direction Cosine Matrix from Euler angles (in radians) for six basic sequence of rotations around X(Roll),Y(Pitch) and Z(Yaw) axis.

Allowed rotations sequences:
xyz, xzy, yxz, yzx, zxy, zyx
OR
rpy, ryp, pry, pyr,...