What's the difference between curve and spline?

Curve


Definition:

  • (a.) Bent without angles; crooked; curved; as, a curve line; a curve surface.
  • (a.) A bending without angles; that which is bent; a flexure; as, a curve in a railway or canal.
  • (a.) A line described according to some low, and having no finite portion of it a straight line.
  • (a.) To bend; to crook; as, to curve a line; to curve a pipe; to cause to swerve from a straight course; as, to curve a ball in pitching it.
  • (v. i.) To bend or turn gradually from a given direction; as, the road curves to the right.

Example Sentences:

  • (1) As a consequence, similar response curves were obtained for urine specimens containing morphine or barbiturates.
  • (2) When the data correlating DHT with protein synthesis using both labelling techniques were combined, the curves were parallel and a strong correlation was noted between DHT and protein synthesis over a wide range of values (P less than 0.001).
  • (3) These observations were confirmed by the killing curves in pooled serum obtained at peak and trough levels.
  • (4) However, there was no statistically significant difference in mean areas under the LH and FSH curves in the GnRH-treated groups.
  • (5) Regression curves indicate that although all three types of pulmonary edema can be characterized by slightly different slopes, the differences are statistically insignificant.
  • (6) In the cannulated group, significant decreases (P less than 0.05) in the area under the elimination curve (AUC), the volume of distribution at steady-state (Vdss) and the mean residence time (MRT) were observed.
  • (7) The reproducibility of the killing-curve method suggests that at least two different concentrations should be used and that a decrease in viable counts below 2 log10 after 24 hours does not exclude a synergistic action.
  • (8) The curve of mitoses peaked at the same time as that of TK activity but was only 68% as extensive.
  • (9) The effect of these drugs was estimated from the cell growth curve and DNA histogram determined by flow cytometry.
  • (10) However, there was not a relationship between the contraction curve of the gallbladder and the bile flow into the duodenum.
  • (11) The total "dose" to the tissue of individual metabolites was determined by the area under the curve (AUC).
  • (12) However, those studies used partial maximal expiratory flow volume (PMEFV) curves to assess lung function.
  • (13) Blood gas variables produced from a computed in vivo oxygen dissociation curve, PaeO2, P95 and C(a-x)O2, were introduced in the University Hospital of Wales in 1986.
  • (14) They were more irregularly curved and consisted of various substances.
  • (15) The duration of action correlated with the elimination half-life of the drug (r = 0.87; P less than 0.003) and area under the plasma concentration curve (r = 0.72; P less than 0.03).
  • (16) The slope of the thermal inactivation curve of enterotoxin A in beef bouillon (initial pH 6.2) was found to be approximately 27.8 C (50 F) with three different concentrations of toxin.
  • (17) A relatively new method of estimating that date and constructing a corresponding Kaplan Meier curve is presented.
  • (18) To know the relation between the signal intensity and sodium concentration, sodium concentration--signal intensity curve was obtained using phantoms with various sodium concentrations (0.05-1.0%).
  • (19) In testing the contribution of the long, curved stem to the torsional stability of uncemented prostheses by comparing it with other stems, the long, curved stem was the most stable, followed by a shorter straight stem, and a short, proximally curved stem.
  • (20) After using the OK method to obtain a distance curve for height, we introduce a new method (VADK) to derive velocity and acceleration curves from the fitted distance curve.

Spline


Definition:

  • (n.) A rectangular piece fitting grooves like key seats in a hub and a shaft, so that while the one may slide endwise on the other, both must revolve together; a feather; also, sometimes, a groove to receive such a rectangular piece.
  • (n.) A long, flexble piece of wood sometimes used as a ruler.

Example Sentences:

  • (1) This paper addresses the latter assumption by applying a direct and flexible approach, cubic spline functions, to two widely used models: the logistic regression model for binary responses and the Cox proportional hazards regression model for survival time data.
  • (2) After filament images were straightened by spline-fitting, several transforms showed well-defined layer-lines arising from the helical structure of the filament.
  • (3) We have compared three interpolation methods (surface splines, spherical splines and tridimensional interpolation functions).
  • (4) The smoothing B-spline function was applied to 3, 10, 25, 50, 75, 90, and 97 percentile TW2 RUS, carpal and 20-bone scores.
  • (5) The four parameter logistic method, which is based on an approximation of the mass action law, performed better than the Spline method, a procedure which makes no a priori assumptions about the data.
  • (6) The first and second derivatives of progress curves are obtained from the cubic spline function.
  • (7) To improve the qualitative and quantitative analysis of surfaces of protein, two new methods are proposed: one that smoothes the MS surface of Connolly with B-spline smoothing functions to highlight the significant features of the surface, and one that computes the density of surface neighborhood to allow quantitative comparison.
  • (8) In the model, patellofemoral joint profiles projected on a horizontal plane have been expressed as spline functions.
  • (9) It was demonstrated that by using a least-squares surface-fitting technique, the SPG data on the surface can accurately be described by a single parametric biquintic spline function.
  • (10) Approximating the signal with a linear combination of cubic B-splines with equally spaced knots, according to the linear least-squares criterion gives the desired data reduction and an elegant way to perform an automatic analysis.
  • (11) The practical implementation of a rapid Catmull-Rom (cardinal) spline is described, and its advantages with respect to speed and ease of use are discussed.
  • (12) One of these is the procedure known as one of the best automatic smoothing and differentiating techniques: generalised cross validatory spline smoothing and differentiation (GCVC).
  • (13) Splines, were invented nearly 30 years ago and have been shown to have desirable properties.
  • (14) The spline technique is superior in accuracy to sampling at eight-times the Nyquist rate and is comparable to a Fourier-transform-based interpolation algorithm.
  • (15) Lines representing linear regression, log-linear regression or quadratic regression were inferior to those described by linear splines.
  • (16) Although spline functions are by no means unknown to demographers, no simple and direct explanation of their application exists.
  • (17) The spline technique was used to analyse these data as continuous variables, and showed that the 'super-obese' group of families was too small to be of any practical importance.
  • (18) Using penalized likelihood the three curves can be fitted as cubic splines by non-linear regression, and the extent of smoothing required can be expressed in terms of smoothing parameters or equivalent degrees of freedom.
  • (19) In general, the bilinear and bicubic spline methods of interpolation perform about equally.
  • (20) The folding pathway is defined by piecewise B-spline curves and the atoms are initially positioned with respect to the local Frenet trihedra determined by the equations of the curves.