complexType ClothoidType

diagram
namespace	http://www.opengis.net/gml
type	extension of gml:AbstractCurveSegmentType
properties	base  gml:AbstractCurveSegmentType
children	gml:refLocation gml:scaleFactor gml:startParameter gml:endParameter
used by	element  Clothoid
attributes	Name   Type   Use   Default   Fixed   annotation numDerivativesAtStart xs:integer optional   0      documentation The attribute "numDerivativesAtStart" specifies the type of continuity between this curve segment and its predecessor. If this is the first curve segment in the curve, one of these values, as appropriate, is ignored. The default value of "0" means simple continuity, which is a mandatory minimum level of continuity. This level is referred to as "C 0 " in mathematical texts. A value of 1 means that the function and its first derivative are continuous at the appropriate end point: "C 1 " continuity. A value of "n" for any integer means the function and its first n derivatives are continuous: "C n " continuity. NOTE: Use of these values is only appropriate when the basic curve definition is an underdetermined system. For example, line string segments cannot support continuity above C 0 , since there is no spare control parameter to adjust the incoming angle at the end points of the segment. Spline functions on the other hand often have extra degrees of freedom on end segments that allow them to adjust the values of the derivatives to support C 1 or higher continuity. numDerivativesAtEnd xs:integer optional   0      documentation The attribute "numDerivativesAtEnd" specifies the type of continuity between this curve segment and its successor. If this is the last curve segment in the curve, one of these values, as appropriate, is ignored. The default value of "0" means simple continuity, which is a mandatory minimum level of continuity. This level is referred to as "C 0 " in mathematical texts. A value of 1 means that the function and its first derivative are continuous at the appropriate end point: "C 1 " continuity. A value of "n" for any integer means the function and its first n derivatives are continuous: "C n " continuity. NOTE: Use of these values is only appropriate when the basic curve definition is an underdetermined system. For example, line string segments cannot support continuity above C 0 , since there is no spare control parameter to adjust the incoming angle at the end points of the segment. Spline functions on the other hand often have extra degrees of freedom on end segments that allow them to adjust the values of the derivatives to support C 1 or higher continuity. numDerivativeInterior xs:integer optional   0      documentation The attribute "numDerivativesInterior" specifies the type of continuity that is guaranteed interior to the curve. The default value of "0" means simple continuity, which is a mandatory minimum level of continuity. This level is referred to as "C 0 " in mathematical texts. A value of 1 means that the function and its first derivative are continuous at the appropriate end point: "C 1 " continuity. A value of "n" for any integer means the function and its first n derivatives are continuous: "C n " continuity. NOTE: Use of these values is only appropriate when the basic curve definition is an underdetermined system. For example, line string segments cannot support continuity above C 0 , since there is no spare control parameter to adjust the incoming angle at the end points of the segment. Spline functions on the other hand often have extra degrees of freedom on end segments that allow them to adjust the values of the derivatives to support C 1 or higher continuity.
annotation	documentation A clothoid, or Cornu's spiral, is plane    curve whose curvature is a fixed function of its length.    In suitably chosen co-ordinates it is given by Fresnel's    integrals.     x(t) = 0-integral-t cos(AT*T/2)dT            y(t) = 0-integral-t sin(AT*T/2)dT       This geometry is mainly used as a transition curve between    curves of type straight line to circular arc or circular arc    to circular arc. With this curve type it is possible to    achieve a C2-continous transition between the above mentioned    curve types. One formula for the Clothoid is A*A = R*t where    A is constant, R is the varying radius of curvature along the    the curve and t is the length along and given in the Fresnel    integrals.
source	<xs:complexType name="ClothoidType">   <xs:annotation>     <xs:documentation>A clothoid, or Cornu's spiral, is plane    curve whose curvature is a fixed function of its length.    In suitably chosen co-ordinates it is given by Fresnel's    integrals.     x(t) = 0-integral-t cos(AT*T/2)dT            y(t) = 0-integral-t sin(AT*T/2)dT       This geometry is mainly used as a transition curve between    curves of type straight line to circular arc or circular arc    to circular arc. With this curve type it is possible to    achieve a C2-continous transition between the above mentioned    curve types. One formula for the Clothoid is A*A = R*t where    A is constant, R is the varying radius of curvature along the    the curve and t is the length along and given in the Fresnel    integrals.</xs:documentation>   </xs:annotation>   <xs:complexContent>     <xs:extension base="gml:AbstractCurveSegmentType">       <xs:sequence>         <xs:element name="refLocation">           <xs:complexType>             <xs:sequence>               <xs:element ref="gml:AffinePlacement">                 <xs:annotation>                   <xs:documentation>The "refLocation" is an affine mapping           that places  the curve defined by the Fresnel Integrals            into the co-ordinate reference system of this object.</xs:documentation>                 </xs:annotation>               </xs:element>             </xs:sequence>           </xs:complexType>         </xs:element>         <xs:element name="scaleFactor" type="decimal">           <xs:annotation>             <xs:documentation>The element gives the value for the        constant in the Fresnel's integrals.</xs:documentation>           </xs:annotation>         </xs:element>         <xs:element name="startParameter" type="double">           <xs:annotation>             <xs:documentation>The startParameter is the arc length        distance from the inflection point that will be the start        point for this curve segment. This shall be lower limit        used in the Fresnel integral and is the value of the        constructive parameter of this curve segment at its start        point. The startParameter can either be positive or        negative.        NOTE! If 0.0 (zero), lies between the startParameter and        the endParameter of the clothoid, then the curve goes        through the clothoid's inflection point, and the direction        of its radius of curvature, given by the second        derivative vector, changes sides with respect to the        tangent vector. The term length distance for the</xs:documentation>           </xs:annotation>         </xs:element>         <xs:element name="endParameter" type="double">           <xs:annotation>             <xs:documentation>The endParameter is the arc length        distance from the inflection point that will be the end        point for this curve segment. This shall be upper limit        used in the Fresnel integral and is the value of the        constructive parameter of this curve segment at its        start point. The startParameter can either be positive        or negative.</xs:documentation>           </xs:annotation>         </xs:element>       </xs:sequence>     </xs:extension>   </xs:complexContent> </xs:complexType>

element ClothoidType/refLocation

diagram
namespace	http://www.opengis.net/gml
properties	isRef  0 content  complex
children	gml:AffinePlacement
source	<xs:element name="refLocation">   <xs:complexType>     <xs:sequence>       <xs:element ref="gml:AffinePlacement">         <xs:annotation>           <xs:documentation>The "refLocation" is an affine mapping           that places  the curve defined by the Fresnel Integrals            into the co-ordinate reference system of this object.</xs:documentation>         </xs:annotation>       </xs:element>     </xs:sequence>   </xs:complexType> </xs:element>

element ClothoidType/scaleFactor

diagram
namespace	http://www.opengis.net/gml
type	xs:decimal
properties	isRef  0 content  simple
annotation	documentation The element gives the value for the        constant in the Fresnel's integrals.
source	<xs:element name="scaleFactor" type="decimal">   <xs:annotation>     <xs:documentation>The element gives the value for the        constant in the Fresnel's integrals.</xs:documentation>   </xs:annotation> </xs:element>

element ClothoidType/startParameter

diagram
namespace	http://www.opengis.net/gml
type	xs:double
properties	isRef  0 content  simple
annotation	documentation The startParameter is the arc length        distance from the inflection point that will be the start        point for this curve segment. This shall be lower limit        used in the Fresnel integral and is the value of the        constructive parameter of this curve segment at its start        point. The startParameter can either be positive or        negative.        NOTE! If 0.0 (zero), lies between the startParameter and        the endParameter of the clothoid, then the curve goes        through the clothoid's inflection point, and the direction        of its radius of curvature, given by the second        derivative vector, changes sides with respect to the        tangent vector. The term length distance for the
source	<xs:element name="startParameter" type="double">   <xs:annotation>     <xs:documentation>The startParameter is the arc length        distance from the inflection point that will be the start        point for this curve segment. This shall be lower limit        used in the Fresnel integral and is the value of the        constructive parameter of this curve segment at its start        point. The startParameter can either be positive or        negative.        NOTE! If 0.0 (zero), lies between the startParameter and        the endParameter of the clothoid, then the curve goes        through the clothoid's inflection point, and the direction        of its radius of curvature, given by the second        derivative vector, changes sides with respect to the        tangent vector. The term length distance for the</xs:documentation>   </xs:annotation> </xs:element>

element ClothoidType/endParameter

diagram
namespace	http://www.opengis.net/gml
type	xs:double
properties	isRef  0 content  simple
annotation	documentation The endParameter is the arc length        distance from the inflection point that will be the end        point for this curve segment. This shall be upper limit        used in the Fresnel integral and is the value of the        constructive parameter of this curve segment at its        start point. The startParameter can either be positive        or negative.
source	<xs:element name="endParameter" type="double">   <xs:annotation>     <xs:documentation>The endParameter is the arc length        distance from the inflection point that will be the end        point for this curve segment. This shall be upper limit        used in the Fresnel integral and is the value of the        constructive parameter of this curve segment at its        start point. The startParameter can either be positive        or negative.</xs:documentation>   </xs:annotation> </xs:element>

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