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PK_BCURVE_ask_splinewise |
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PK_ERROR_code_t PK_BCURVE_ask_splinewise
(
--- received arguments ---
PK_BCURVE_t bcurve, --- b-curve
--- returned arguments ---
PK_BCURVE_splinewise_sf_t *const bcurve_splinewise_sf
--- b-curve splinewise standard form
)
This function returns the splinewise standard form of a b-curve.
Specific Errors:
PK_ERROR_unsuitable_entity degree of curve is greater than 3 or
degree is less than 3 and curve has more
than one segment
PK_ERROR_bad_knots curve has unsuitable knot vector
Takes a b-curve and returns its splinewise standard form.
Refer to the documentation of PK_BCURVE_splinewise_sf_t.
Not all b-curves have a splinewise standard form. All b-curves created by
PK_BCURVE_create_splinewise have splinewise standard forms. The following
conditions are required for a curve to have a splinewise standard form:
- it must be of cubic or lower degree.
- it must be non-rational.
- it must have continuous first and second derivatives (note that for a
linear or quadratic curve to satisfy these continuity requirements it may
only have one segment).
- if the curve is periodic it must not have any repeated knots.
- if the curve is non-periodic it may only have repeated knots at the ends.